Question

Using a two-way anova model, solve.

The null hypotheses are:

H0: μ₁ = μ₂ = μ_{3 or more}

H0: μ_{4 to 5} = μ_{6 to 7} = μ_{8 to 9} = μ_{10 to 12}

1. What is the MSA? (Between Groups, which are Number of Children)
2. What is the value of the test statistic to test whether there is an effect due to age of child (F TEST, or F STAT?)
3. Can we reject either of the null hypotheses  at the alpha = 0.05 level?

Use the Excel data below:

		Number of children in family
		1	2	3 or More
	4-5	2	1	1
age of		4	2	1
child	6-7	5	3	2
(in years)		4	1	1
	8-9	8	4	2
		6	5	3
	10-12	7	3	4
		8	5	3
	cell entries are child-influenced purchase counts

Answer 1

a)

Source of Variation	SS	df	MS	F	P-value	F crit
Age of Child	42.45833	3	14.15278	14.76812	0.000248446	3.490295
Number of children in family	49.08333	2	24.54167	25.6087	4.67808E-05	3.885294
Interaction	4.916667	6	0.819444	0.855072	0.553063923	2.99612
Within	11.5	12	0.958333
Total	107.9583	23

b)

F	P-value	F crit
14.76812	0.000248446	3.490295

yes there is an effect

c)

We cannot reject null hypothesis at 0.05

THANKS

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